F(x)=0.5x^2-2 and g(x)=8x^3+2

F(x)=0.5x^2-2 And G(x)=8x^3+2

Answers

Answer 1

Answer:

(f*g)(x) = 4x⁵ - 16x³ + x² - 4

Step-by-step explanation:

To find (f*g)(x), you need to multiply f(x) with g(x).  Use FOIL to multiply.

f(x) = 0.5x² - 2

g(x) = 8x³ + 2

(f*g)(x) = (0.5x² - 2)(8x³ + 2)

(f*g)(x) = 4x⁵ + x² - 16x³ - 4

(f*g)(x) = 4x⁵ - 16x³ + x² - 4


Related Questions

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!

Answers

Answer:

The answer is A: 120yd^2

Step-by-step explanation:

Volume = Width x length x height

Volume = 8 x 3 x 5

Volume = 120

Answer:

120

Step-by-step explanation:

8*3*5

gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have

Answers

8.18

Step-by-step explanation:

8.18

pow pom wyh oqhw uwhwn 8.18 ge wk

Answer:

37 Dimes, 29 Nickels

Step-by-step explanation:

x= dimes

66-x = nickels

.1 (x) = dimes

.05 (66-x) = nickels

Solve

3.3 + 0.5x = 5.15

Solve again then you come out with

x= 37

66 - 37 = 29

*Do the equations have solutions? x2=x

Answers

Answer:

x = 1

Step-by-step explanation:

x² = x

x² / x = 1

x = 1

Check:

1² = 1

convert 72° into grades.

Answers

Answer:

80 grades is the answer.

Step-by-step explanation:

72° into grades

1° = 10/9 grades

72° = 10/9 × 72grades

= 720/9 grades

= 80 grades

Answer:

80 grades

Step-by-step explanation:

72° into grades  

=>1° = 10/9 grades

=>72° = 10/9 × 72 grades  

=>72° = 720/9 grades

=>72° = 80 grades

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?

Answers

Answer:

She must jog 7 laps in order to meet her goal.

Step-by-step explanation:

A more accurate answer would be that she needs to run 6 1/4 laps to meet her goal. However, because the problem states that she will not be running partial laps, then the number of laps she runs must be a whole number, which in this case works out to be 7 laps.

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

Option A) A = 100(1.005)^12t

Step-by-step explanation:

The formula for Total Amount obtained using compound interest is given as:

A = P( 1 + r/n) ^nt

Where

A = Total amount received or obtained after investing

P = Principal or Initial Amount invested

r = interest rate

n = rate or number of times the interest is compounded

t = time in years.

In the question we obtained this values

P = $100

r = 6% = 0.06

n = compounded monthly, we have 12 months in a year, hence, n = 12

t = t

Using the compound interest formula for Amount A,

A = P( 1 + r/n) ^nt

A = 100(1 + 0.06/12)^12 × t

A = 100(1 + 0.005)^12t

A = 100(1.005)^12t

Therefore, the value of Mari's Investment if the interest is compounded monthly is

A = 100(1.005)^12t

Hence, Option A is correct.

What is the range for the following
numbers?
5, 1, 12, 3, 4, 2, 10

Answers

Answer:

11

Step-by-step explanation:

Find the range by calculating the difference between the smallest and largest numbers in a set.

The smallest number is 1, and the largest number is 12.

Find the difference:

12 - 1

= 11

So, the range is 11.

Answer:

11

Step-by-step explanation:

1,2,,3,4,5,10,12

Range is lowest value subtracted from highest value so: 12 -1 = 11

answered by g a u t h m a t h

Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68

Answers

Answer:

x = 60

Step-by-step explanation:

Given

[tex]\sqrt{x+4}[/tex] - 7 = 1 ( add 7 to both sides )

[tex]\sqrt{x+4}[/tex] = 8 ( square both sides )

([tex]\sqrt{x+4}[/tex] )² = 8² , that is

x + 4 = 64 ( subtract 4 from both sides )

x = 60


Last year, Mary opened an investment account with $5400. At the end of the year, the amount in the account
had decreased by 6%.

Answers

6/100*5400
324
5400-324
5076 final answer

1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?

Answers

Answer:2.the answer is 189,250pages

Step-by-step explanation:

1L=1000ml

3.785=?3785

1ml=50pages

3785ml=?

The answer is 189,250

Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Question 2 options:

(x,y) → (x – 4,y)


(x,y) → (x,y + 4)


(x,y) → (x,y – 4)


(x,y) → (x + 4,y)

Answers

Answer:

(x , y )  -----> (x , y -4)

Step-by-step explanation:

There is no change in x-coordinate

Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)

7 + a = 3

    a = 3 - 7

   a = -4

y-coordinate of A' = y-coordinate of A  - 4

The area of the school garden is 31 1/4 ft. If the width is 6 3/5 ft, find the length.

Answers

Answer:

The length of the school garden is 4  97/132 feet

Step-by-step explanation:

Divide 31  1/4 by 6  3/5.

125/4 divided by 33/5 = 625/132

625/132 = 4  97/132

Hope this helps :)

The length of garden is 625/ 132 ft

what is area of rectangle?

The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension

Area of a Rectangle. A = l × b.

Given:

area of garden = 31 1/4 ft = 125/4

width = 6 3/5 ft = 33/5 ft

Now, area of garden

=length * width

125/4 = length * 33/5

length= 125/4 * 5/33

length = 625/ 132 ft

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In the figure above, O is a circle. What is the
measure of obtuse angle AOB, in degrees?

Answers

Answer:

An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.

Step-by-step explanation:

i didnt see a figure above but this is the answer to "what is the measure if obtuse angle in degrees?"

8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸​

Answers

Answer: B:2^16

Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536

[tex]\boxed{\huge\text{Hey there!}}[/tex]

[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]

[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]

[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]

[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]

[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]

[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Solve for ggg.
-3+5+6g=11-3g−3+5+6g=11−3g

Answers

Answer:

-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g

6 g + 2 = 3 g + 13 = 11 - 3 g

 

{g = 11/3, g = 1, g = -1/3}

{3 g = 11, g = 1, 3 g + 1 = 0}

{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}

during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the cash price of an article which is marked 115 cedis​

Answers

The cash price of the article is 88 cedis.

In this question, the article has a price, but paid in cash, there are two discounts.

Price of 115 cedis.Discount of 15%, thus, 1 - 0.15 = 0.85 is paid, that is, the price is multiplied by 0.85.Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.

Thus, the cash price is:

[tex]P = 115\times0.85\times0.9 = 88[/tex]

The cash price of the article is 88 cedis.

A similar question is given at: https://brainly.com/question/14738783

Find the arc length of the partial circle.

Answers

Answer:

● 23.55 units

Step-by-step explanation:

Arc length = 5( 270 π/ 180)

= 7.5 π units

= 7.5 (3.14)

= 23.55 units

OAmalOHopeO.

Answer:  Approximately 23.55 units

============================================================

Explanation:

For now, we'll just find the perimeter of the full circle. The term "circumference" is the same as the perimeter of the circle.

Use the circumference formula to get

C = 2*pi*r

C = 2*3.14*5

C = 31.4

The distance around the full circle is approximately 31.4 units. It's approximate because pi = 3.14 is approximate.

We don't want the full distance around the circle. Instead, we want just the length of the green arc shown in the drawing. This is exactly 3/4 of the full circle, aka 3/4 = 0.75 = 75% of the full perimeter.

The length of the green arc is about 0.75*C = 0.75*31.4 = 23.55 units long. Imagine using a cloth ruler (used in tailoring clothes) as one way to confirm that this arc length is roughly 23.55 units long. Or you could imagine unwrapping this curved portion to lay it completely straight and flat against a ruler.

If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?



A.-6 and -1

B. -1 and 6

C. 1 and 6

D. -6 and 1

Answers

Answer:

I think C is the answer .

Step-by-step explanation:

If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.

(x-6)(x-1) = 0

Either,

x-6 = 0

x = 6

and

x-1 = 0

x = 1

so 6 and 1 are the zeros or roots of function f.

Answer:

the answer is 1 and 6 :D

Step-by-step explanation:

The path a character takes to navigate a level of a video game is given in the following graph.

Piecewise function with a linear function going from a closed point at negative 12 comma negative 6 to an open point at negative 6 comma negative 6 and another linear function from a closed point at negative 6 comma negative 4 up to the point 2 comma 4 and then horizontally to a closed point at 8 comma 4 and then another linear function from an open point at 8 comma 0 down to a closed point at 14 comma negative 3

What is the domain?

Answers

The domain is the set of x values that has a corresponding y-values in a function or a graph.

The domain of the graph is: [tex]-10 \le x \le 10[/tex]

From the graph (see attachment), we have the following observation

The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))The value x ends at 10 (represented by the slant line on the first quadrant)

These values can be represented as:

[tex]x_1= -10[/tex]

[tex]x_2 = 10[/tex]

So, the domain of x is: [tex]-10 \le x \le 10[/tex]

Read more about domain at:

https://brainly.com/question/24302079

helppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

Write the explicit rule by writing each term as the product of the first term.

1.) N 1 2 3 4
F(n) 3 15 75 375

2.) 40, 60, 90, 135,

Answers

Answer:

1 f(n) = 3(5)^x-1

2 f(n) = 40(3/2)^x-1

Step-by-step explanation:

The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.

Answer:

graph A on edge 2020

Step-by-step explanation:

I took the test

FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP

Answers

Answer:

-1*5*7*11*y

Step-by-step explanation:

This is the prime factorization of 385y times -1.

Simplify 6 to the second power

Answers

Answer:

36

Step-by-step explanation:

[tex]6^2 =6\times 6\\\\= 36[/tex]

answer to this problem?​

Answers

Answer:

The p is 4

Step-by-step explanation:

Find combinations using a school cafeterias meal! (20 POINTS! PLEASE HELP) Fruits: Apples, Bananas, and Grapes. Vegetables: Cauliflower, Carrot, and Corn. Protein: Green beans, Salmon, and Almonds. List all possible combinations and count the total number of possibilities.

Answers

Answer:

1. Apples, Cauliflower, Green beans

2. Apples, Cauliflower, Salmon

...

27. Grapes, Corn, Almonds

Step-by-step explanation:

There are 3x3x3 = 27 combinations possible. You can enumerate them systematically.

Answer:

There are 27 combinations possible.

Hope this helps!

A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?

Answers

Answer:

15 minutes

Step-by-step explanation:

60 x 50 x 40 = 120000

120000 cubic cm = 120 litres

120/8 m= 15

Ans : 15 min.

If a graph is a line, it will always have a domain of all real numbers.
True or False

Answers

Answer:

i think its true.

Step-by-step explanation:

Hope it helps!


ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?

Answers

Answer:

n=6 u=28/3

Step-by-step explanation:

system of equations

The number of used books sold will be 7 and that of the new book will be 9.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given

Number of used books = u

Number of new books  = v

In the first case;

12u + 4n =  136

In the second case;

28u + 4n = 248

By both equations,

u = 7 and n = 9

So the number of used books is 7 and the new is 9.

For more about the equation

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PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)

Answers

Answer:

A

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

A student earned grades of ​, ​, ​, ​, and . Those courses had the corresponding numbers of credit hours ​, ​, ​, ​, and . The grading system assigns quality points to letter grades as​ follows: A​4; B​3; C​2; D​1; F 0. Compute the grade point average​ (GPA) as a weighted mean and round the result with two decimal places. If the​ Dean's list requires a GPA of 3.00 or​ greater, did this student make the​ Dean's list

Answers

Answer:

grade point average​ (GPA) as a weighted mean = 3.14

Yes, student makes the Dean's list.

Step-by-step explanation:

Since the data is not given I will explain the question with a relevant example:

For example

Data:

Students grades are:  A, C, B, A, D

The corresponding number of credit hours: 3, 3, 3, 4, 1

The grading system assigns quality points to letter grades as​:

A = 4

B = 3

C = 2

D = 1

F = 0

To find:

grade point average​ (GPA) as a weighted mean

If the​ Dean's list requires a GPA of 3.00 or​ greater, did this student make the​ Dean's list?

Solution:

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]

Here

Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:

A = 4

C = 2

B = 3

A = 4

D = 1

So the values in x[tex]_{i}[/tex] are:

x

4

2

3

4

1

Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :

w

3

3

3

4

1

In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]

x[tex]_{i}[/tex] w[tex]_{i}[/tex]

4 * 3 = 12

2 * 3 = 6

3 * 3 = 9

4 * 4 = 16

1 * 1 = 1

The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :

Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44

Σx[tex]_{i}[/tex] w[tex]_{i}[/tex]  =  44

Now compute the sum of w[tex]_{i}[/tex]

Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14

Σw[tex]_{i}[/tex] = 14

Putting the values in the weighted mean formula:

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]

                           =  44 / 14

                           = 3.1429

Weighted Mean =   Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14

Since the​ Dean's list requires a GPA of 3.00 or​ greater and the grade point average​ (GPA) as a weighted mean of the student is 3.14 so the student makes the​ Dean's list because his/her GPA is higher than 3.00

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